Most likely it is the battery. When the battery starts to go, the wing will pop up and the other electronics will start doing strange things. If you are still on the original battery, it is due to be replaced. As far as the radio goes, I remember reading that there is a sequence of things that you do to enable the radio to play while the car is turned off. I am sure someone else will chime in on that. I am betting that a new battery will bring harmony back into your life.